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Finding the Fourth Proportional to 308,009.40, 462,014.10 and 189,295.80

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Solution

The fourth proportional to 308,009.40, 462,014.10 and 189,295.80 is: 283,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,009.40 : 462,014.10 = 189,295.80 : x
  2. Step 2: Convert to fraction form
    308,009.40/462,014.10 = 189,295.80/x
  3. Step 3: Cross multiply
    308,009.40x = 462,014.10 × 189,295.80
  4. Step 4: Simplify right side
    308,009.40x = 87,457,328,670.78
  5. Step 5: Solve for x
    x = 87,457,328,670.78/308,009.40
  6. Step 6: Final answer
    x = 283,943.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.